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Finding the Fourth Proportional to 12,711.51, 17,540.48 and 7,046.10

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Solution

The fourth proportional to 12,711.51, 17,540.48 and 7,046.10 is: 9,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.51 : 17,540.48 = 7,046.10 : x
  2. Step 2: Convert to fraction form
    12,711.51/17,540.48 = 7,046.10/x
  3. Step 3: Cross multiply
    12,711.51x = 17,540.48 × 7,046.10
  4. Step 4: Simplify right side
    12,711.51x = 123,591,993.74
  5. Step 5: Solve for x
    x = 123,591,993.74/12,711.51
  6. Step 6: Final answer
    x = 9,722.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.